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What is the Square Root of 109?

The square root of 109 is 10.4403065089. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√109 = 10.4403065089
CalculatedNon-perfect squareIrrational
Exact form√109
Perfect squareNo
Number typeIrrational
Verification10.44030650892 ≈ 109

On this page

How the answer is calculated

We solve x2 = 109. The resulting value is x = 10.4403065089.

Verification: 10.44030650892 ≈ 109.

Simplified radical form

The square root of 109 in simplified radical form is √109.

There are no square factors that can be taken outside the radical, so √109 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal10100
Upper or equal11121

Nearby square roots

NumberSquare root
√10610.295630141
√10710.3440804328
√10810.3923048454
√10910.4403065089
√11010.4880884817
√11110.5356537529
√11210.5830052443

Number properties

Is 109 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√109 is irrational because 109 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 109.